实厄米Banach＊-代数  

Hermitian Real Banach＊-algebras

作　　者：李忠艳[1] 李民丽[2] 

机构地区：[1]华北电力大学(北京)数理系,北京102206 [2]首都师范大学数学系,北京100037

出　　处：《应用泛函分析学报》2006年第1期83-89,共7页Acta Analysis Functionalis Applicata

摘　　要：对任意实厄米的B anach*-代数进行系统研究,即对不需任何附加条件限制的代数进行研究,讨论方法与传统的假定代数具有单位元和*-运算是连续的两个重要假定条件下的方法不同.Hermitian real Banach＇-algebras play an importantpole in characterizing the axioms for real C＇-algebras, it is necessary to study these algebras. In this paper, general Hermitian real Banach＇-algebras, which may neither have identities nor their involutions are continuous, were discussed systematically. The method of study is different from the traditional way that have the two presumes algebras have identities and their involutions are continuous.

关 键 词：实厄米的Banach＊-代数 实厄米泛函 C＊-半范数 不可约＊-表示 

分 类 号：O177.1[理学—数学]